A number is called "descending" if each digit is less than the digit to its left. For example, the number $432$ is descending, but $443$ and $345$ are not. How many six-digit descending numbers are there?

The gomez company, a merchandising firm, has budgeted its activity for december according to the following information: • sales at $500,000, all for cash. • merchandise inventory on november 30 was $250,000. • the cash balance at december 1 was $20,000. • selling and administrative expenses are budgeted at $50,000 for december and are paid for in cash. • budgeted depreciation for december is $30,000. • the planned merchandise inventory on december 31 is $260,000. • the cost of goods sold represents 75% of the selling price. • all purchases are paid for in cash. the budgeted cash disbursements for december are:

Diamond motor car company produces some of the most luxurious and expensive cars in the world. typically, only a single dealership is authorized to sell its cars in certain major cities. in less populous areas, diamond authorizes a single dealer for an entire state or region. the manufacturer of diamond automobiles is using a(n) distribution strategy for its product.

Emery pharmaceutical uses an unstable chemical compound that must be kept in an environment where both temperature and humidity can be controlled. emery uses 825 pounds per month of the chemical, estimates the holding cost to be 50% of the purchase price (because of spoilage), and estimates order costs to be $48 per order. the cost schedules of two suppliers are as follows: vendor 1 vendor 2 quantity price/lb quantity price/lb 1-499 $17 1-399 $17.10 500-999 $16.75 400-799 $16.85 1000+ $16.50 800-1199 $16.60 1200+ $16.25 (a) what is the economic order quantity for each supplier? (b) what quantity should be ordered and which supplier should be used? (c) the total cost for the most economic order sire is $